Reyntegration or Reintegration: How To spell?

The word Reyntegration is misspelled against Reintegration, a noun meaning "A renewing, or making whole again. See Redintegration."

Word contains consecutive vowels 'EI' in between alphabets r & ntegration is misspelled as 'EY'
Wrong Spelling:  r-ey-ntegration 
Correct Spelling:  r-ei-ntegration 
Find more incorrect spellings of Reintegration to spell right way.